Question

1. write the equation of the line in slope intercept form.
2. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -7)$, so $b = -7$.

Step2: Calculate slope using two points

Use points $(0, -7)$ and $(7, -3)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-3 - (-7)}{7 - 0}=\frac{4}{7}$

Step3: Plug into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{4}{7}$ and $b=-7$.

Answer:

$y=\frac{4}{7}x - 7$